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How do you factorise a quadratic? Something like x^2 + 4x + 3

When factorising a quadratic the idea is to separate it into two brackets, so first, I usually write out the empty brackets like this; (x___)(x___) You then need to think of numbers that you can put in those...
JA
Answered by Jordan A. • Maths tutor
4040 Views

The functions f and g are defined on R , the set of real numbers by f(x) = x^2 - 5x +2, and g(x) = 1 - x. Find h(x) = f(g(x)), and j(x) = g(f(x)).

Part 1: Step 1: Substitute in (1-x) for x in the equation f(x) = x^2 -5x +2 Step 2: Break the brackets Step 3: Collect like terms to simplify Part2: Step 1: Substitute in (x^2 -5x +2) for x in the equation g...
DH
Answered by Daniel H. • Maths tutor
10584 Views

3 shops sell TVs and all 3 are having sales. Here are the three original prices of the TVs and their discounts: X12: £150 (25%), Teli-vise: £235 (1/2 off), Xpert: £60 (with a year of weekly £8 payments). Which TV is the cheapest once discounted.

X12 = £150 x (1-0.25) = £112.50 Teli-vise: £235 / 2 = £117.50 Xpert: £60 + (12 x £8) = £156 Therefore the X12 is the cheapest television after the discount has been applied.
GC
Answered by George C. • Maths tutor
5293 Views

Adam can pay for his gym membership in one go at £180 or in monthly sums of £20. Work out the percentage increase of paying monthly to 1 decimal place.

We need to start by working out the price Adam will pay for the entire year if he chooses the monthly option. We do this by multiplying £20 x 12 months = £240. Next we need to find the difference (increase) ...
TN
Answered by Timothy N. • Maths tutor
4399 Views

Solve the simultaneous equations: 3x+2y=4 and 2x+y=3

When solving simultaneous equations there are several options, the two most common methods being substitution and elimination. For this example I shall use elimination. In order to do so, either x or y must ...
CG
Answered by Catherine G. • Maths tutor
12980 Views